Running a Droid X, OS ver 2.3.4

When I shut off the screen and leave the phone for more than a few minutes, it shuts off all communication. Doesn't matter if it's VERIZ or Wifi, it just closes up shop. I turn the screen back on, it takes a few seconds to turn connections back on, then I receive all the notifications I've missed, all at once.

I've spent quite a bit of time on the 'net looking into this, I'm finding nothing specific to my issue.

Ideas?

Thanks, in advance!